Notice each sentence contains "to play soccer". Other similarly structured sentences may have "to read books", "to speak English", "to listen to music" .. and so on

I'm trying to find a page that explains the basics of this type of phrase "to [verb] _______" and it's role in the sentences. Also, further different usages of this phrase used in the following sentences

I want to play soccerI have a lot of time to play soccerI'll do my best to play soccer

These three sentences make use of the same "to [verb] _____" but apparently are three difference usages. I want to find a page, or if some kind soul could offer an explanation, that I can learn more. For the three sentences above I want to know the difference and create many sentences, then allow my students to arrange each in groups - that kind of thing. I have tried to search myself but don't really know the name given to this grammar rule if one exists.

Anyway if someone could point me in the right direction or give me some tips it would be very much appreciated.

TO+ Verb is called Infinitive.When we start a sentence with TO+ VERB, Like:To learn lanuages is good.Here the Infinitive starts a sentences, so it is called the Subjective case of the Infinitive.The same structure can be introduced in another way, that is:It+is+adjective+to+verb (Infinitive)It is good to learn languages.Both delivers the same meaning just the structure differs.